TSTP Solution File: SYO903^10 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO903^10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:50:35 EDT 2024
% Result : ContradictoryAxioms 0.38s 0.59s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 34
% Syntax : Number of formulae : 144 ( 20 unt; 13 typ; 0 def)
% Number of atoms : 751 ( 10 equ; 0 cnn)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1753 ( 340 ~; 390 |; 5 &; 967 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 259 ( 21 ^ 235 !; 3 ?; 259 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_25,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_27,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
v1: mworld > $o ).
thf(decl_33,type,
v2: mworld > $o ).
thf(decl_34,type,
v3: mworld > $o ).
thf(decl_35,type,
v4: mworld > $o ).
thf(decl_36,type,
esk1_0: mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mor_def,axiom,
( mor
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
| ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(deontic1,axiom,
( mlocal
@ ( mdia
@ ^ [X3: mworld] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deontic1) ).
thf(persat46,axiom,
mlocal @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat46) ).
thf(mrel_transitive,axiom,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( ( mrel @ X3 @ X5 )
& ( mrel @ X5 @ X6 ) )
=> ( mrel @ X3 @ X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(persat18,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat18) ).
thf(persat3,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat3) ).
thf(persat38,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat38) ).
thf(persat6,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat6) ).
thf(persat32,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat32) ).
thf(persat26,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat26) ).
thf(persat29,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat29) ).
thf(persat23,axiom,
mlocal @ ( mor @ v3 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat23) ).
thf(persat5,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).
thf(persat30,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v1 ) @ ( mbox @ ( mbox @ v2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat30) ).
thf(persat9,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v4 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat9) ).
thf(persat31,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat31) ).
thf(c_0_21,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_22,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_23,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_24,plain,
( mor
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor_def]) ).
thf(c_0_25,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_26,plain,
? [X200: mworld] :
( ( mrel @ mactual @ X200 )
& $true ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[deontic1]),c_0_21]),c_0_22]) ).
thf(c_0_27,plain,
( ~ ( v3 @ mactual )
| ! [X176: mworld] :
( ( mrel @ mactual @ X176 )
=> ~ ( v4 @ X176 ) )
| ! [X178: mworld] :
( ( mrel @ mactual @ X178 )
=> ! [X177: mworld] :
( ( mrel @ X178 @ X177 )
=> ~ ( v2 @ X177 ) ) )
| ! [X180: mworld] :
( ( mrel @ mactual @ X180 )
=> ! [X179: mworld] :
( ( mrel @ X180 @ X179 )
=> ~ ( v4 @ X179 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat46,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_28,plain,
! [X202: mworld,X203: mworld,X204: mworld] :
( ~ ( mrel @ X202 @ X203 )
| ~ ( mrel @ X203 @ X204 )
| ( mrel @ X202 @ X204 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_transitive])])]) ).
thf(c_0_29,plain,
( ( mrel @ mactual @ esk1_0 )
& $true ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
thf(c_0_30,plain,
! [X370: mworld,X371: mworld,X372: mworld,X373: mworld,X374: mworld] :
( ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X370 )
| ~ ( v4 @ X370 )
| ~ ( mrel @ mactual @ X371 )
| ~ ( mrel @ X371 @ X372 )
| ~ ( v2 @ X372 )
| ~ ( mrel @ mactual @ X373 )
| ~ ( mrel @ X373 @ X374 )
| ~ ( v4 @ X374 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
thf(c_0_31,plain,
! [X201: mworld] : ( mrel @ X201 @ X201 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_32,plain,
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [X62: mworld] :
( ( mrel @ mactual @ X62 )
=> ~ ( v1 @ X62 ) )
| ! [X64: mworld] :
( ( mrel @ mactual @ X64 )
=> ! [X63: mworld] :
( ( mrel @ X64 @ X63 )
=> ~ ( v1 @ X63 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat18,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_33,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ X3 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_34,plain,
mrel @ mactual @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_35,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [X16: mworld] :
( ( mrel @ mactual @ X16 )
=> ! [X15: mworld] :
( ( mrel @ X16 @ X15 )
=> ~ ( v4 @ X15 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat3,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_36,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v2 @ X6 )
| ~ ( mrel @ mactual @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( v4 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_37,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_38,plain,
! [X256: mworld,X257: mworld,X258: mworld] :
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X256 )
| ~ ( v1 @ X256 )
| ~ ( mrel @ mactual @ X257 )
| ~ ( mrel @ X257 @ X258 )
| ~ ( v1 @ X258 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
thf(c_0_39,plain,
! [X3: mworld] :
( ( mrel @ X3 @ esk1_0 )
| ~ ( mrel @ X3 @ mactual ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_40,plain,
( ~ ( v1 @ mactual )
| ! [X140: mworld] :
( ( mrel @ mactual @ X140 )
=> ~ ( v4 @ X140 ) )
| ! [X142: mworld] :
( ( mrel @ mactual @ X142 )
=> ! [X141: mworld] :
( ( mrel @ X142 @ X141 )
=> ( v4 @ X141 ) ) )
| ! [X144: mworld] :
( ( mrel @ mactual @ X144 )
=> ! [X143: mworld] :
( ( mrel @ X144 @ X143 )
=> ~ ( v4 @ X143 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat38,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_41,plain,
! [X209: mworld,X210: mworld] :
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X209 )
| ~ ( mrel @ X209 @ X210 )
| ~ ( v4 @ X210 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
thf(c_0_42,plain,
! [X3: mworld,X6: mworld,X5: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( v3 @ mactual )
| ~ ( mrel @ X3 @ X6 )
| ~ ( v2 @ X6 )
| ~ ( v4 @ X5 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37])]) ).
thf(c_0_43,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v1 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_44,plain,
! [X3: mworld,X7: mworld,X6: mworld,X5: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X6 )
| ~ ( v3 @ mactual )
| ~ ( mrel @ X3 @ X7 )
| ~ ( v2 @ X7 )
| ~ ( v4 @ X6 )
| ~ ( v4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_37])]) ).
thf(c_0_45,plain,
( ( v1 @ mactual )
| ( v4 @ mactual )
| ! [X24: mworld] :
( ( mrel @ mactual @ X24 )
=> ~ ( v1 @ X24 ) )
| ! [X26: mworld] :
( ( mrel @ mactual @ X26 )
=> ! [X25: mworld] :
( ( mrel @ X26 @ X25 )
=> ~ ( v1 @ X25 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat6,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_46,plain,
( ( v4 @ mactual )
| ! [X117: mworld] :
( ( mrel @ mactual @ X117 )
=> ~ ( v1 @ X117 ) )
| ! [X119: mworld] :
( ( mrel @ mactual @ X119 )
=> ! [X118: mworld] :
( ( mrel @ X119 @ X118 )
=> ( v4 @ X118 ) ) )
| ! [X121: mworld] :
( ( mrel @ mactual @ X121 )
=> ! [X120: mworld] :
( ( mrel @ X121 @ X120 )
=> ~ ( v1 @ X120 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat32,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_47,plain,
! [X334: mworld,X335: mworld,X336: mworld,X337: mworld,X338: mworld] :
( ~ ( v1 @ mactual )
| ~ ( mrel @ mactual @ X334 )
| ~ ( v4 @ X334 )
| ~ ( mrel @ mactual @ X335 )
| ~ ( mrel @ X335 @ X336 )
| ( v4 @ X336 )
| ~ ( mrel @ mactual @ X337 )
| ~ ( mrel @ X337 @ X338 )
| ~ ( v4 @ X338 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
thf(c_0_48,plain,
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [X97: mworld] :
( ( mrel @ mactual @ X97 )
=> ! [X96: mworld] :
( ( mrel @ X97 @ X96 )
=> ( v3 @ X96 ) ) )
| ! [X99: mworld] :
( ( mrel @ mactual @ X99 )
=> ! [X98: mworld] :
( ( mrel @ X99 @ X98 )
=> ~ ( v4 @ X98 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat26,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_49,plain,
! [X3: mworld,X5: mworld] :
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( v4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_50,plain,
! [X5: mworld,X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( v3 @ mactual )
| ~ ( v2 @ X5 )
| ~ ( v4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_37]) ).
thf(c_0_51,plain,
! [X3: mworld] :
( ( v2 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37])]) ).
thf(c_0_52,plain,
! [X6: mworld,X5: mworld,X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( v3 @ mactual )
| ~ ( v2 @ X6 )
| ~ ( v4 @ X5 )
| ~ ( v4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
thf(c_0_53,plain,
( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [X107: mworld] :
( ( mrel @ mactual @ X107 )
=> ~ ( v1 @ X107 ) )
| ! [X109: mworld] :
( ( mrel @ mactual @ X109 )
=> ! [X108: mworld] :
( ( mrel @ X109 @ X108 )
=> ( v3 @ X108 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat29,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_54,plain,
! [X218: mworld,X219: mworld,X220: mworld] :
( ( v1 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X218 )
| ~ ( v1 @ X218 )
| ~ ( mrel @ mactual @ X219 )
| ~ ( mrel @ X219 @ X220 )
| ~ ( v1 @ X220 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
thf(c_0_55,plain,
! [X311: mworld,X312: mworld,X313: mworld,X314: mworld,X315: mworld] :
( ( v4 @ mactual )
| ~ ( mrel @ mactual @ X311 )
| ~ ( v1 @ X311 )
| ~ ( mrel @ mactual @ X312 )
| ~ ( mrel @ X312 @ X313 )
| ( v4 @ X313 )
| ~ ( mrel @ mactual @ X314 )
| ~ ( mrel @ X314 @ X315 )
| ~ ( v1 @ X315 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
thf(c_0_56,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v4 @ X6 )
| ~ ( v1 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ mactual @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( v4 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_57,plain,
! [X290: mworld,X291: mworld,X292: mworld,X293: mworld] :
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X290 )
| ~ ( mrel @ X290 @ X291 )
| ( v3 @ X291 )
| ~ ( mrel @ mactual @ X292 )
| ~ ( mrel @ X292 @ X293 )
| ~ ( v4 @ X293 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
thf(c_0_58,plain,
! [X3: mworld] :
( ( v2 @ mactual )
| ( v1 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v3 @ mactual )
| ~ ( v4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
thf(c_0_59,plain,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( v2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_37]) ).
thf(c_0_60,plain,
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(spm,[status(thm)],[c_0_51,c_0_37]) ).
thf(c_0_61,plain,
! [X5: mworld,X3: mworld] :
( ~ ( mrel @ esk1_0 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( v3 @ mactual )
| ~ ( v4 @ esk1_0 )
| ~ ( v2 @ X5 )
| ~ ( v4 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_37])]) ).
thf(c_0_62,plain,
! [X3: mworld] :
( ( v2 @ mactual )
| ( v1 @ mactual )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v3 @ mactual )
| ~ ( v4 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_39]),c_0_37])]) ).
thf(c_0_63,plain,
! [X301: mworld,X302: mworld,X303: mworld] :
( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ~ ( mrel @ mactual @ X301 )
| ~ ( v1 @ X301 )
| ~ ( mrel @ mactual @ X302 )
| ~ ( mrel @ X302 @ X303 )
| ( v3 @ X303 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
thf(c_0_64,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v1 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v1 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
thf(c_0_65,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v4 @ mactual )
| ( v4 @ X6 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ mactual @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( v1 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_66,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( v1 @ mactual )
| ~ ( mrel @ X5 @ X3 )
| ~ ( v4 @ X6 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37])]) ).
thf(c_0_67,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v3 @ mactual )
| ( v3 @ X5 )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( v4 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
thf(c_0_68,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
thf(c_0_69,plain,
( ~ ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_37])]) ).
thf(c_0_70,plain,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( v3 @ mactual )
| ~ ( v4 @ esk1_0 )
| ~ ( v2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_37]) ).
thf(c_0_71,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v4 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
thf(c_0_72,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ mactual )
| ( v3 @ X6 )
| ~ ( v1 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
thf(c_0_73,plain,
! [X3: mworld] :
( ( v4 @ mactual )
| ( v1 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37])]) ).
thf(c_0_74,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ mactual )
| ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X5 @ X3 )
| ~ ( v1 @ X6 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_37])]) ).
thf(c_0_75,plain,
! [X3: mworld,X5: mworld] :
( ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v1 @ mactual )
| ~ ( v4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_39]),c_0_37])]) ).
thf(c_0_76,plain,
( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [X85: mworld] :
( ( mrel @ mactual @ X85 )
=> ! [X84: mworld] :
( ( mrel @ X85 @ X84 )
=> ( v1 @ X84 ) ) )
| ! [X87: mworld] :
( ( mrel @ mactual @ X87 )
=> ! [X86: mworld] :
( ( mrel @ X87 @ X86 )
=> ~ ( v4 @ X86 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat23,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_77,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v3 @ mactual )
| ( v3 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( v4 @ mactual )
| ~ ( mrel @ X5 @ X3 )
| ~ ( v4 @ X6 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_37]) ).
thf(c_0_78,plain,
( ~ ( v3 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_68]),c_0_37])]),c_0_69]) ).
thf(c_0_79,plain,
( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v4 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_37])]) ).
thf(c_0_80,plain,
! [X3: mworld,X5: mworld] :
( ( v4 @ mactual )
| ( v3 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_37]),c_0_73]) ).
thf(c_0_81,plain,
! [X3: mworld,X5: mworld] :
( ( v4 @ mactual )
| ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v1 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_39]),c_0_37])]) ).
thf(c_0_82,plain,
! [X3: mworld] :
( ( v4 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v1 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(spm,[status(thm)],[c_0_75,c_0_37]) ).
thf(c_0_83,plain,
! [X278: mworld,X279: mworld,X280: mworld,X281: mworld] :
( ( v3 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X278 )
| ~ ( mrel @ X278 @ X279 )
| ( v1 @ X279 )
| ~ ( mrel @ mactual @ X280 )
| ~ ( mrel @ X280 @ X281 )
| ~ ( v4 @ X281 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])]) ).
thf(c_0_84,plain,
! [X3: mworld,X5: mworld] :
( ( v3 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v4 @ mactual )
| ~ ( v4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_37]),c_0_78]) ).
thf(c_0_85,plain,
( ( v1 @ mactual )
| ( v3 @ mactual )
| ! [X21: mworld] :
( ( mrel @ mactual @ X21 )
=> ! [X20: mworld] :
( ( mrel @ X21 @ X20 )
=> ( v3 @ X20 ) ) )
| ! [X23: mworld] :
( ( mrel @ mactual @ X23 )
=> ! [X22: mworld] :
( ( mrel @ X23 @ X22 )
=> ( v4 @ X22 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat5,c_0_21]),c_0_24]),c_0_25]) ).
thf(c_0_86,plain,
( ~ ( v3 @ mactual )
| ~ ( v4 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_37])]),c_0_79]) ).
thf(c_0_87,plain,
! [X3: mworld] :
( ( v4 @ mactual )
| ( v3 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ mactual ) ),
inference(spm,[status(thm)],[c_0_80,c_0_37]) ).
thf(c_0_88,plain,
! [X3: mworld] :
( ( v4 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v1 @ mactual ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_37]),c_0_82]) ).
thf(c_0_89,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v3 @ mactual )
| ( v4 @ mactual )
| ( v1 @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( v4 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
thf(c_0_90,plain,
! [X3: mworld] :
( ( v3 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v4 @ mactual ) ),
inference(spm,[status(thm)],[c_0_84,c_0_37]) ).
thf(c_0_91,plain,
! [X3: mworld] :
( ( v4 @ mactual )
| ( v3 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v1 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_39]),c_0_37])]) ).
thf(c_0_92,plain,
! [X214: mworld,X215: mworld,X216: mworld,X217: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X214 )
| ~ ( mrel @ X214 @ X215 )
| ( v3 @ X215 )
| ~ ( mrel @ mactual @ X216 )
| ~ ( mrel @ X216 @ X217 )
| ( v4 @ X217 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])]) ).
thf(c_0_93,plain,
( ( v4 @ mactual )
| ~ ( v4 @ esk1_0 )
| ~ ( v1 @ mactual ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_37])]) ).
thf(c_0_94,plain,
( ( v4 @ esk1_0 )
| ~ ( v1 @ mactual ) ),
inference(spm,[status(thm)],[c_0_88,c_0_37]) ).
thf(c_0_95,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ mactual )
| ( v3 @ mactual )
| ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X5 @ X3 )
| ~ ( v4 @ X6 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_37]) ).
thf(c_0_96,plain,
~ ( v4 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_90]),c_0_37])]) ).
thf(c_0_97,plain,
! [X3: mworld] :
( ( v4 @ mactual )
| ( v4 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v1 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_39]),c_0_37])]) ).
thf(c_0_98,plain,
( ( v4 @ mactual )
| ~ ( v4 @ esk1_0 )
| ~ ( v1 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_91]),c_0_37])]) ).
thf(c_0_99,plain,
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [X110: mworld] :
( ( mrel @ mactual @ X110 )
=> ( v1 @ X110 ) )
| ! [X112: mworld] :
( ( mrel @ mactual @ X112 )
=> ! [X111: mworld] :
( ( mrel @ X112 @ X111 )
=> ( v2 @ X111 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat30,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_100,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ( v3 @ X5 )
| ( v4 @ X7 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X6 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_101,plain,
( ( v4 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
thf(c_0_102,plain,
! [X3: mworld,X5: mworld] :
( ( v3 @ mactual )
| ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v4 @ X5 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_39]),c_0_37])]),c_0_96]) ).
thf(c_0_103,plain,
( ( v4 @ mactual )
| ~ ( v1 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_37]),c_0_98]) ).
thf(c_0_104,plain,
! [X304: mworld,X305: mworld,X306: mworld] :
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X304 )
| ( v1 @ X304 )
| ~ ( mrel @ mactual @ X305 )
| ~ ( mrel @ X305 @ X306 )
| ( v2 @ X306 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])]) ).
thf(c_0_105,plain,
! [X3: mworld,X6: mworld,X5: mworld] :
( ( v3 @ mactual )
| ( v1 @ mactual )
| ( v4 @ X3 )
| ( v3 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X6 @ X5 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_37]) ).
thf(c_0_106,plain,
~ ( v1 @ mactual ),
inference(spm,[status(thm)],[c_0_96,c_0_101]) ).
thf(c_0_107,plain,
! [X3: mworld] :
( ( v1 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v4 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_39]),c_0_37])]),c_0_86]) ).
thf(c_0_108,plain,
~ ( v1 @ esk1_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_103]) ).
thf(c_0_109,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ mactual )
| ( v1 @ X3 )
| ( v2 @ X6 )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
thf(c_0_110,plain,
! [X5: mworld,X3: mworld] :
( ( v3 @ mactual )
| ( v3 @ X3 )
| ( v4 @ X5 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_37]),c_0_106]) ).
thf(c_0_111,plain,
~ ( v4 @ esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_37]),c_0_108]) ).
thf(c_0_112,plain,
( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [X32: mworld] :
( ( mrel @ mactual @ X32 )
=> ( v4 @ X32 ) )
| ! [X34: mworld] :
( ( mrel @ mactual @ X34 )
=> ! [X33: mworld] :
( ( mrel @ X34 @ X33 )
=> ~ ( v4 @ X33 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat9,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_113,plain,
! [X5: mworld,X3: mworld] :
( ( v4 @ mactual )
| ( v2 @ X3 )
| ( v1 @ X5 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v3 @ mactual ) ),
inference(spm,[status(thm)],[c_0_109,c_0_34]) ).
thf(c_0_114,plain,
! [X3: mworld] :
( ( v3 @ mactual )
| ( v3 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_39]),c_0_37])]),c_0_111]) ).
thf(c_0_115,plain,
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [X114: mworld] :
( ( mrel @ mactual @ X114 )
=> ! [X113: mworld] :
( ( mrel @ X114 @ X113 )
=> ( v1 @ X113 ) ) )
| ! [X116: mworld] :
( ( mrel @ mactual @ X116 )
=> ! [X115: mworld] :
( ( mrel @ X116 @ X115 )
=> ( v4 @ X115 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[persat31,c_0_21]),c_0_23]),c_0_24]),c_0_25])]) ).
thf(c_0_116,plain,
! [X226: mworld,X227: mworld,X228: mworld] :
( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X226 )
| ( v4 @ X226 )
| ~ ( mrel @ mactual @ X227 )
| ~ ( mrel @ X227 @ X228 )
| ~ ( v4 @ X228 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])]) ).
thf(c_0_117,plain,
! [X3: mworld] :
( ( v1 @ esk1_0 )
| ( v2 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( v3 @ mactual ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_39]),c_0_37])]),c_0_78]) ).
thf(c_0_118,plain,
v3 @ mactual,
inference(spm,[status(thm)],[c_0_114,c_0_37]) ).
thf(c_0_119,plain,
! [X307: mworld,X308: mworld,X309: mworld,X310: mworld] :
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X307 )
| ~ ( mrel @ X307 @ X308 )
| ( v1 @ X308 )
| ~ ( mrel @ mactual @ X309 )
| ~ ( mrel @ X309 @ X310 )
| ( v4 @ X310 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])]) ).
thf(c_0_120,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v1 @ mactual )
| ( v4 @ X3 )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_121,plain,
! [X5: mworld,X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X5 )
| ~ ( v3 @ mactual )
| ~ ( v2 @ X5 )
| ~ ( v4 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_37])]) ).
thf(c_0_122,plain,
! [X3: mworld] :
( ( v2 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]),c_0_108]) ).
thf(c_0_123,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v4 @ mactual )
| ( v1 @ X5 )
| ( v4 @ X7 )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X6 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
thf(c_0_124,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v4 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v4 @ X6 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_118])]),c_0_106]) ).
thf(c_0_125,plain,
! [X5: mworld,X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X5 )
| ~ ( v4 @ X3 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_118])]),c_0_122]) ).
thf(c_0_126,plain,
! [X3: mworld,X6: mworld,X7: mworld,X5: mworld] :
( ( v4 @ X3 )
| ( v1 @ X5 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ mactual @ X7 )
| ~ ( mrel @ X6 @ X3 )
| ~ ( mrel @ X7 @ X5 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_118])]),c_0_96]) ).
thf(c_0_127,plain,
! [X3: mworld,X5: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X5 )
| ~ ( v4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_34]),c_0_125]) ).
thf(c_0_128,plain,
! [X6: mworld,X5: mworld,X3: mworld] :
( ( v1 @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ esk1_0 @ X6 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_34]),c_0_127]) ).
thf(c_0_129,plain,
! [X3: mworld] :
( ( v1 @ X3 )
| ~ ( mrel @ esk1_0 @ X3 ) ),
inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_39]),c_0_37])])]) ).
thf(c_0_130,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_37]),c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO903^10 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 08:42:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running higher-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59 # Version: 3.1.0-ho
% 0.38/0.59 # partial match(1): HSMSSMSSMLMNHSN
% 0.38/0.59 # Preprocessing class: HSLSSMSSMLMNHSN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.38/0.59 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.38/0.59 # Starting almost_fo_3_lam with 300s (1) cores
% 0.38/0.59 # Starting post_as_ho1 with 300s (1) cores
% 0.38/0.59 # post_as_ho1 with pid 3803 completed with status 0
% 0.38/0.59 # Result found by post_as_ho1
% 0.38/0.59 # partial match(1): HSMSSMSSMLMNHSN
% 0.38/0.59 # Preprocessing class: HSLSSMSSMLMNHSN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.38/0.59 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.38/0.59 # Starting almost_fo_3_lam with 300s (1) cores
% 0.38/0.59 # Starting post_as_ho1 with 300s (1) cores
% 0.38/0.59 # No SInE strategy applied
% 0.38/0.59 # Search class: HGHNF-FFMF00-SHSSMFNN
% 0.38/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.59 # Starting new_ho_10 with 163s (1) cores
% 0.38/0.59 # new_ho_10 with pid 3815 completed with status 0
% 0.38/0.59 # Result found by new_ho_10
% 0.38/0.59 # partial match(1): HSMSSMSSMLMNHSN
% 0.38/0.59 # Preprocessing class: HSLSSMSSMLMNHSN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.38/0.59 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.38/0.59 # Starting almost_fo_3_lam with 300s (1) cores
% 0.38/0.59 # Starting post_as_ho1 with 300s (1) cores
% 0.38/0.59 # No SInE strategy applied
% 0.38/0.59 # Search class: HGHNF-FFMF00-SHSSMFNN
% 0.38/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.59 # Starting new_ho_10 with 163s (1) cores
% 0.38/0.59 # Preprocessing time : 0.003 s
% 0.38/0.59 # Presaturation interreduction done
% 0.38/0.59
% 0.38/0.59 # Proof found!
% 0.38/0.59 # SZS status ContradictoryAxioms
% 0.38/0.59 # SZS output start CNFRefutation
% See solution above
% 0.38/0.59 # Parsed axioms : 77
% 0.38/0.59 # Removed by relevancy pruning/SinE : 0
% 0.38/0.59 # Initial clauses : 70
% 0.38/0.59 # Removed in clause preprocessing : 17
% 0.38/0.59 # Initial clauses in saturation : 53
% 0.38/0.59 # Processed clauses : 438
% 0.38/0.59 # ...of these trivial : 6
% 0.38/0.59 # ...subsumed : 115
% 0.38/0.59 # ...remaining for further processing : 317
% 0.38/0.59 # Other redundant clauses eliminated : 0
% 0.38/0.59 # Clauses deleted for lack of memory : 0
% 0.38/0.59 # Backward-subsumed : 172
% 0.38/0.59 # Backward-rewritten : 66
% 0.38/0.59 # Generated clauses : 756
% 0.38/0.59 # ...of the previous two non-redundant : 687
% 0.38/0.59 # ...aggressively subsumed : 0
% 0.38/0.59 # Contextual simplify-reflections : 28
% 0.38/0.59 # Paramodulations : 756
% 0.38/0.59 # Factorizations : 0
% 0.38/0.59 # NegExts : 0
% 0.38/0.59 # Equation resolutions : 0
% 0.38/0.59 # Disequality decompositions : 0
% 0.38/0.59 # Total rewrite steps : 312
% 0.38/0.59 # ...of those cached : 307
% 0.38/0.59 # Propositional unsat checks : 0
% 0.38/0.59 # Propositional check models : 0
% 0.38/0.59 # Propositional check unsatisfiable : 0
% 0.38/0.59 # Propositional clauses : 0
% 0.38/0.59 # Propositional clauses after purity: 0
% 0.38/0.59 # Propositional unsat core size : 0
% 0.38/0.59 # Propositional preprocessing time : 0.000
% 0.38/0.59 # Propositional encoding time : 0.000
% 0.38/0.59 # Propositional solver time : 0.000
% 0.38/0.59 # Success case prop preproc time : 0.000
% 0.38/0.59 # Success case prop encoding time : 0.000
% 0.38/0.59 # Success case prop solver time : 0.000
% 0.38/0.59 # Current number of processed clauses : 27
% 0.38/0.59 # Positive orientable unit clauses : 4
% 0.38/0.59 # Positive unorientable unit clauses: 0
% 0.38/0.59 # Negative unit clauses : 4
% 0.38/0.59 # Non-unit-clauses : 19
% 0.38/0.59 # Current number of unprocessed clauses: 23
% 0.38/0.59 # ...number of literals in the above : 95
% 0.38/0.59 # Current number of archived formulas : 0
% 0.38/0.59 # Current number of archived clauses : 290
% 0.38/0.59 # Clause-clause subsumption calls (NU) : 5446
% 0.38/0.59 # Rec. Clause-clause subsumption calls : 1575
% 0.38/0.59 # Non-unit clause-clause subsumptions : 250
% 0.38/0.59 # Unit Clause-clause subsumption calls : 283
% 0.38/0.59 # Rewrite failures with RHS unbound : 0
% 0.38/0.59 # BW rewrite match attempts : 4
% 0.38/0.59 # BW rewrite match successes : 2
% 0.38/0.59 # Condensation attempts : 438
% 0.38/0.59 # Condensation successes : 11
% 0.38/0.59 # Termbank termtop insertions : 58282
% 0.38/0.59 # Search garbage collected termcells : 8638
% 0.38/0.59
% 0.38/0.59 # -------------------------------------------------
% 0.38/0.59 # User time : 0.085 s
% 0.38/0.59 # System time : 0.004 s
% 0.38/0.59 # Total time : 0.089 s
% 0.38/0.59 # Maximum resident set size: 3168 pages
% 0.38/0.59
% 0.38/0.59 # -------------------------------------------------
% 0.38/0.59 # User time : 0.089 s
% 0.38/0.59 # System time : 0.005 s
% 0.38/0.59 # Total time : 0.094 s
% 0.38/0.59 # Maximum resident set size: 1792 pages
% 0.38/0.59 % E---3.1 exiting
% 0.38/0.59 % E exiting
%------------------------------------------------------------------------------